Answers aren't meant to answer posts, but provide solutions. Working through any of the {First Posts, Late Answers, Low Quality Posts} queues makes you realize random surfers not familiar with the Stack Exchange model don't get this (or ignore it once they already hit the edit box and started typing anyway), and reviewers most frequent job is to flag as "Not an answer" (at least on some sites).
@Bohemian already proposed renaming this headline in Change "Your Answer" to "Your Answer to this Question" -- but I would even go further and completely removing the wording "Answer", which will also mitigate "I'm having this problem, too!!!" non-answerssolutions.
What about naming this box "Your Solution"?